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Finding the Fourth Proportional to 10,782.57, 16,175.36 and 3,761.55

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Solution

The fourth proportional to 10,782.57, 16,175.36 and 3,761.55 is: 5,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.57 : 16,175.36 = 3,761.55 : x
  2. Step 2: Convert to fraction form
    10,782.57/16,175.36 = 3,761.55/x
  3. Step 3: Cross multiply
    10,782.57x = 16,175.36 × 3,761.55
  4. Step 4: Simplify right side
    10,782.57x = 60,844,406.60
  5. Step 5: Solve for x
    x = 60,844,406.60/10,782.57
  6. Step 6: Final answer
    x = 5,642.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.